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The exact wave functions that describe scattering of a charged particle by a confined magnetic field (Aharonov-Bohm effect) and by a Coulomb field are analyzed. It is well known that the usual procedure of finding asymptotic forms of these…

High Energy Physics - Theory · Physics 2007-05-23 Charles M. Sommerfield , Hisakazu Minakata

We study the Aharonov-Bohm-Coulomb problem in a graphene ring. We investigate, in particular, the effects of a Coulomb type potential of the form $\xi/r$ on the energy spectrum of Dirac electrons in the graphene ring in two different ways:…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Eylee Jung , Mi-Ra Hwang , ChangSoo Park , DaeKil Park

We report electronic transmission properties of a tight binding Aharonov-Bohm ring threaded by a magnetic flux, to one arm of which a finite cluster of atoms has been attached from one side. we demonstrate that, by suitably choosing the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Supriya Jana , Arunava Chakrabarti

We report on a magneto-photoluminescence study of isotopically pure 70Ge/Si self-assembled type-II quantum dots. Oscillatory behaviors attributed to the Aharonov-Bohm effect are simultaneously observed for the emission energy and intensity…

The simultaneous effect of intense THz laser and in-plane electric fields on Aharonov-Bohm effect in single isotropic quantum rings is investigated using the non-perturbative Floquet theory in high-frequency limit. It is shown that in…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 Manuk Barseghyan , Aram Manaselyan , David Laroze , Albert Kirakosyan

We develop a unified treatment of the non-Abelian Aharonov-Bohm (AB) effect in isotropic multiband systems, namely, the scattering of particles on a gauge field corresponding to a noncommutative Lie group. We present a complex contour…

Quantum Physics · Physics 2023-07-04 Róbert Németh , József Cserti

This is a review of electronic quantum interference in mesoscopic ring structures based on graphene, with a focus on the interplay between the Aharonov-Bohm effect and the peculiar electronic and transport properties of this material. We…

Mesoscale and Nanoscale Physics · Physics 2012-08-06 Jörg Schelter , Patrik Recher , Björn Trauzettel

We study interaction and radial polarization effects on the the absorption spectrum of neutral bound magnetoexcitons confined in quantum-ring structures. We show that the size and orientation of the exciton's dipole moment, as well as the…

Mesoscale and Nanoscale Physics · Physics 2009-01-23 Luis G. Dias da Silva , Sergio E. Ulloa , Tigran V. Shahbazyan

We study a particle on a ring in presence of various dissipative environments. We develop and solve a variational scheme assuming low frequency dominance. Our solution produces a renormalization group (RG) transformation to all orders in…

Mesoscale and Nanoscale Physics · Physics 2010-06-22 Baruch Horovitz , Pierre Le Doussal

We show that Aharonov-Bohm (AB) oscillations in the magnetic moment of an integrable ballistic quantum dot can be destroyed by a time dependent magnetic flux. The effect is due to a nonequilibrium population of perfectly coherent electronic…

Condensed Matter · Physics 2009-10-22 T. Swahn , E. N. Bogachek , Yu. M. Galperin , M. Jonson , R. I. Shekhter

We show how the Aharonov-Bohm flux (AB) $\phi_i$ and the dual gaps $(\Delta_1, \Delta_2)$ can affect the electron scattering in graphene quantum dots (GQDs) of radius $r_0$ in the presence of an electrostatic potential $V$. After obtaining…

Mesoscale and Nanoscale Physics · Physics 2024-09-23 Fatima Belokda , Ahmed Bouhlal , Ahmed Jellal

We present a simple model of transmission across a metallic mesoscopic ring. In one of its arm an electron interacts with a single magnetic impurity via an exchange coupling. We show that entanglement between electron and spin impurity…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. M. Jayannavar

We study analytically a system made up of a quantum ring with a dipolar impurity and under the effect of an Aharonov-Bohm field. We calculate the exact values of the energies and we also get the exact expressions of the wave functions.

Quantum Physics · Physics 2021-02-16 Mourad Baazouzi , Mustafa Moumni , Mokhtar Falek

The Aharonov-Bohm scattering of charged particles by the magnetic field of an infinitely long and infinitely thin solenoid (magnetic string) in an absorbing medium is studied. We discuss the partial-wave approach to this problem and show…

Quantum Physics · Physics 2009-10-31 Juergen Audretsch , Vladimir Skarzhinsky

The electronic structure of radially polarized excitons in structured nanorings is analyzed, with emphasis in the ground-state properties and their dependence under applied magnetic fields perpendicular to the ring plane. The electron-hole…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Z. Barticevic , M. Pacheco , J. Simonin , C. R. Proetto

The Aharonov-Bohm effect is a fundamental topological phenomenon with a wide range of applications. It consists of a charge encircling a region with a magnetic flux in a superposition of wave packets having their relative phase affected by…

Quantum Physics · Physics 2023-03-17 Ismael L. Paiva , Pedro R. Dieguez , Renato M. Angelo , Eliahu Cohen

We study the effect of an electric charge in the middle of a ring of electrons in a magnetic field such as $\nu = 1/2$. In the absence of the central charge, a residual current should appear due to an Aharanov-Bohm effect. As the charge…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 R. Mélin , B. Doucot

Confinement effects of Aharonov-Bohm (AB) flux and magnetic fields with topological defect on CO diatomic molecule modeled by screened modified Kratzer potential is investigated in this paper. The all-encompassing effects of the fields and…

Quantum Physics · Physics 2021-04-07 C. O. Edet , A. N. Ikot

The magnetic field effects on excitons in an InAs nano-ring are studied theoretically. By numerically diagonalizing the effective-mass Hamiltonian of the problem, which can be separated into terms in centre-of-mass and relative coordinates,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hui Hu , Jia-Lin Zhu , Dai-Jun Li , Jia-Jiong Xiong

The gauge invariance of the Aharonov-Bohm (AB) effect with a quantum treatment for the electromagnetic field is demonstrated. We provide an exact solution for the electromagnetic ground energy due to the interaction of the quantum…

Quantum Physics · Physics 2024-06-12 Pablo L. Saldanha